Florida Lotto Odds Calculator

› Florida Lotto

Calculate Lotto Odds

Balls to be drawn: Total number of prize levels:
From a pool of: Tick to include bonus balls:
Odds for Popular Lotteries:

Calculated Odds
Numbers Matched Odds (Rounded) Show Working Out +
6 Main Numbers (Jackpot) 1 in 22,957,480 Show/Hide ›

The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded):

C(n,r)
C(r,m)
×
C(n-r,r-m)
C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
C(53,6)
C(6,6)
×
C(53-6,6-6)
Substitute:
n for 53 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 6 (balls to be matched from the main pool)
53!
6! × (53 - 6)!
6!
6! × (6 - 6)!
×
47!
0! × (47 - 0)!
Expand:
C(53,6) = 53! ÷ (6! × (53-6)!)
C(6,6) = 6! ÷ (6! × (6-6)!)
C(53-6,6-6) = 47! ÷ (0! × (47-0)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1
22,957,480
1 × 1
Simplify:
53! ÷ (6! × (53-6)!) = 22,957,480
6! ÷ (6! × (6-6)!) = 1
47! ÷ (0! × (47-0)!) = 1
22,957,480 = 22,957,480
1
Calculate:
22,957,480 ÷ (1 × 1) = 22,957,480
5 Main Numbers 1 in 81,410 Show/Hide ›

The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded):

C(n,r)
C(r,m)
×
C(n-r,r-m)
C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
C(53,6)
C(6,5)
×
C(53-6,6-5)
Substitute:
n for 53 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)
53!
6! × (53 - 6)!
6!
5! × (6 - 5)!
×
47!
1! × (47 - 1)!
Expand:
C(53,6) = 53! ÷ (6! × (53-6)!)
C(6,5) = 6! ÷ (5! × (6-5)!)
C(53-6,6-5) = 47! ÷ (1! × (47-1)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1
22,957,480
6 × 47
Simplify:
53! ÷ (6! × (53-6)!) = 22,957,480
6! ÷ (5! × (6-5)!) = 6
47! ÷ (1! × (47-1)!) = 47
22,957,480 = 81,410
282
Calculate:
22,957,480 ÷ (6 × 47) = 81,410
4 Main Numbers 1 in 1,416 Show/Hide ›

The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded):

C(n,r)
C(r,m)
×
C(n-r,r-m)
C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
C(53,6)
C(6,4)
×
C(53-6,6-4)
Substitute:
n for 53 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)
53!
6! × (53 - 6)!
6!
4! × (6 - 4)!
×
47!
2! × (47 - 2)!
Expand:
C(53,6) = 53! ÷ (6! × (53-6)!)
C(6,4) = 6! ÷ (4! × (6-4)!)
C(53-6,6-4) = 47! ÷ (2! × (47-2)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1
22,957,480
15 × 1,081
Simplify:
53! ÷ (6! × (53-6)!) = 22,957,480
6! ÷ (4! × (6-4)!) = 15
47! ÷ (2! × (47-2)!) = 1,081
22,957,480 = 1,416
16,215
Calculate:
22,957,480 ÷ (15 × 1,081) = 1,416
3 Main Numbers 1 in 71 Show/Hide ›

The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded):

C(n,r)
C(r,m)
×
C(n-r,r-m)
C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
C(53,6)
C(6,3)
×
C(53-6,6-3)
Substitute:
n for 53 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)
53!
6! × (53 - 6)!
6!
3! × (6 - 3)!
×
47!
3! × (47 - 3)!
Expand:
C(53,6) = 53! ÷ (6! × (53-6)!)
C(6,3) = 6! ÷ (3! × (6-3)!)
C(53-6,6-3) = 47! ÷ (3! × (47-3)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1
22,957,480
20 × 16,215
Simplify:
53! ÷ (6! × (53-6)!) = 22,957,480
6! ÷ (3! × (6-3)!) = 20
47! ÷ (3! × (47-3)!) = 16,215
22,957,480 = 71
324,300
Calculate:
22,957,480 ÷ (20 × 16,215) = 71
2 Main Numbers 1 in 9 Show/Hide ›

The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded):

C(n,r)
C(r,m)
×
C(n-r,r-m)
C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
C(53,6)
C(6,2)
×
C(53-6,6-2)
Substitute:
n for 53 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 2 (balls to be matched from the main pool)
53!
6! × (53 - 6)!
6!
2! × (6 - 2)!
×
47!
4! × (47 - 4)!
Expand:
C(53,6) = 53! ÷ (6! × (53-6)!)
C(6,2) = 6! ÷ (2! × (6-2)!)
C(53-6,6-2) = 47! ÷ (4! × (47-4)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1
22,957,480
15 × 178,365
Simplify:
53! ÷ (6! × (53-6)!) = 22,957,480
6! ÷ (2! × (6-2)!) = 15
47! ÷ (4! × (47-4)!) = 178,365
22,957,480 = 9
2,675,475
Calculate:
22,957,480 ÷ (15 × 178,365) = 9

Approx. Overall Odds: 1 in 8

Please note, some lotteries have irregular prize levels, therefore the odds calculated may not be 100% accurate.


How to use the Lotto Odds Calculator


  1. Enter the number of balls to be Drawn
  2. Enter the Total Number of Balls from which these are drawn
  3. Choose the total number of prize levels the lottery has, eg: Match 6, Match 5, Match 4 and Match 3 would be 4 levels
  4. If the lottery includes 'Bonus' numbers eg: a Powerball, tick the "include bonus balls" box
  5. If the box has been ticked, a drop down menu will appear in a similar style to the original fields. Enter the number of "bonus" numbers to be drawn, the size of the pool it/they are drawn from, and the amount of prize levels that involve matching the bonus number. Finally, select the name of the Bonus number from the remaining drop down box
  6. Click the "Calculate Odds" button to view the odds, or to start again, click Reset.

Alternatively you can choose a lottery from the "Popular Lotteries" drop-down menu at the bottom of the form to quickly input the variables for your chosen lottery and auto-display the odds table.